Question:
M.O.I. of a cylinder around its generator is
M.O.I. of a cylinder around its generator is
Updated On: Jul 6, 2022
- $MR^2$
- $\frac {3}{2} MR^2$
- $2MR^2$
- $\frac {MR^2} {2}$
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The Correct Option is B
Solution and Explanation
$I_{11} = I_{CM} + MR^2 = \frac{1}{2} MR^2 + MR^2 = \frac{3}{2} MR^2$
Generator of a cylinder is the axis tangential to surface of cylinder and parallel to main axis of the cylinder
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.